The problem asks to factor the expression $x^2 - 100$ using the difference of two squares formula.

1. Problem Description

The problem asks to factor the expression $x^2 - 100$ using the difference of two squares formula.

2. Solution Steps

The difference of squares formula is:

$a^2 - b^2 = (a - b)(a + b)$

We are given the expression $x^2 - 100$. We can rewrite this as $x^2 - 10^2$.

Comparing this with the difference of squares formula, we can identify $a = x$ and $b = 10$.

Applying the formula, we get:

$x^2 - 10^2 = (x - 10)(x + 10)$

3. Final Answer

$(x - 10)(x + 10)$